From what I looked up and have been reading. The Senate version
Added some new coverage . That non natives can be tried in
Tribal courts and it also included new protection for gays and lesbians.
During debate, the major divisive issue was a provision that allows tribal courts to prosecute non-Indians accused of assaulting Indian women on reservations. Republicans, arguing that subjecting non-Indians to Indian courts was unconstitutional, offered two amendments to strip that section from the bill, but both were defeated.
Supporters of the bill say a 1978 Supreme Court decision that denies Indian tribes the power to try non-Indian citizens makes an exception for proceedings that are acceptable to Congress. The National Task Force to End Sexual and Domestic Violence Against Women says the provision is tailored to make sure that all rights guaranteed under the Constitution are given to non-Native defendants.
The Indian court issue is expected to be a hurdle as lawmakers try to reconcile the Senate bill with the eventual House bill. Two House Republicans — Reps. Tom Cole of Oklahoma, who is of Native American heritage, and Darrell Issa of California — have been pushing a compromise that would give defendants the right to request that their trial be moved to a federal court if they felt they were not getting a fair trial. Others have argued that those tried in Indian courts should have better defined rights to appeal to federal courts.
Senate votes to reauthorize Violence Against Women Act